10500135 has 16 divisors (see below), whose sum is σ = 17788896. Its totient is φ = 5270528.

The previous prime is 10500109. The next prime is 10500137. The reversal of 10500135 is 53100501.

10500135 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 10500135 - 2⁹ = 10499623 is a prime.

It is a super-2 number, since 2×10500135² = 220505670036450, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

10500135 is a modest number, since divided by 135 gives 105 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10500137) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20334 + ... + 20843.

It is an arithmetic number, because the mean of its divisors is an integer number (1111806).

Almost surely, 2^10500135 is an apocalyptic number.

10500135 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

10500135 is a deficient number, since it is larger than the sum of its proper divisors (7288761).

10500135 is a wasteful number, since it uses less digits than its factorization.

10500135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41202.

The product of its (nonzero) digits is 75, while the sum is 15.

The square root of 10500135 is about 3240.3911800892. The cubic root of 10500135 is about 218.9768954588.

Adding to 10500135 its reverse (53100501), we get a palindrome (63600636).

The spelling of 10500135 in words is "ten million, five hundred thousand, one hundred thirty-five".